most citedGlobal attractor for a nonlinear oscillator coupled to the Klein-Gordon field

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math-ph2007

Global attraction to solitary waves for Klein-Gordon equation with mean field interaction

Alexander Komech, Andrew Komech

We consider a U(1)-invariant nonlinear Klein-Gordon equation in dimension one or larger, self-interacting via the mean field mechanism. We analyze the long-time asymptotics of fini…